Jakow Matwejewitsch Eliaschberg

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Jakow Eliaschberg (1988)

Jakow Matwejewitsch Eliaschberg ( Russian Яков Матвеевич Элиашберг ; English transcription Yakov Eliashberg ; born December 11, 1946 in Leningrad ) is a Russian mathematician who deals with symplectic geometry and topology . His older brother is the theoretical physicist Gerassim Matwejewitsch Eliaschberg .

Eliaschberg received his doctorate in 1972 under Wladimir Abramowitsch Rochlin at the University of Saint Petersburg . He then taught until 1979 at the University of Syktywkar in the Soviet ASSR of the Komi . 1980 to 1987 he headed a development group for computer software. In 1988 he emigrated to the USA, where he has been Professor of Mathematics at Stanford University since 1989 . Among other things, he was visiting professor at the University of Pennsylvania , the Institute for Advanced Study (Marston Morse Lectures 1996), the Texas A&M University . His older brother is the solid-state physicist Gerasim Matveevich Eliashberg (* 1930).

Yakov Eliashberg, Crafoord Prize Laureate in Mathematics 2016 at the Royal Swedish Academy of Sciences in Stockholm Sweden Maj 2016
Yakov Eliashberg, Crafoord Prize Laureate in Mathematics 2016 at the Royal Swedish Academy of Sciences in Stockholm Sweden Maj 2016

Eliaschberg was involved in the development of the symplectic topology in the 1980s and developed the 3-dimensional contact topology. He is also concerned with the application of methods of symplectic geometry in the theory of the functions of several complex variables.

In 1972 he received the Leningrad Mathematical Society Prize. In 1986 he was in Berkeley (Combinatorial methods in symplectic topology) and 1998 (Invariants in contact topology) in Berlin Invited Speaker at the International Congress of Mathematicians and in 2006 in Madrid he gave a plenary lecture (Symplectic field theory and its applications) at the ICM. In 1995 he was a Guggenheim Fellow. In 2001 he received the Oswald Veblen Prize . He is a Fellow of the American Mathematical Society and has been a member of the National Academy of Sciences since 2003 . In 2013 he was awarded the Heinz Hopf Prize , and in 2016 the Crafoord Prize . In 2020 he received the Wolf Prize in Mathematics.

Fonts

  • Combinatorial methods in symplectic topology, Proc. ICM Berkeley 1986, American Mathematical Society 1987, pp. 531-539
  • Classification of overtwisted contact structures on 3-manifolds, Inventiones Mathematicae, Volume 98, 1989, pp. 623-637
  • Invariants in contact topology, Proc. ICM Berlin 1998, volume 2
  • with William Thurston : Confoliations. University Lecture Series, 13th American Mathematical Society, 1998
  • with Alexander Givental , Helmut Hofer : Introduction to Symplectic Field Theory, 2000, Arxiv
  • with Michail Leonidowitsch Gromow : Convex symplectic manifolds, Proc. Symp. Pure Math., Vol. 52, Part 2, 1991, pp. 135-162.
  • with Michail Gromow: Lagrangian Intersection theory: Finite dimensional approach, Amer. Math. Soc. Transl. (2), Volume 186, 1998, pp. 27-118
  • with Michail Gromow: Lagrangian intersections and the stable Morse theory, Boll. Unione Mat. Ital., VII. Ser., B 11 Suppl. 1997, pp. 289-326.
  • with Nikolai M. Mishachev: Introduction to the h-principle, American Mathematical Society 2002

Web links

Individual evidence

  1. ↑ Jakow Matwejewitsch Eliaschberg in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  2. ↑ http://eliashberg80.itp.ac.ru/
  3. ↑ "Classification of overtwisted contact structures", Inventiones Mathematicae Vol. 98, 1989, p 623
  4. ↑ Wolf Prize 2020
personal data
SURNAME Eliaschberg, Jakow Matwejewitsch
ALTERNATIVE NAMES Элиашберг, Яков Матвеевич (Russian)
BRIEF DESCRIPTION Russian mathematician
DATE OF BIRTH December 11, 1946
PLACE OF BIRTH Leningrad